The measure of angle 1 and 2 should add up to 180°, because it forms a straight line. The same goes for the sum of angle 3 and 4.
Since we are given the measure of angle 2, we can find the measure of angle 1 by subtracting 143° from 180°.
180°-143° = 37°
We know that the intersecting lines form 2 sets of vertical angles, which are congruent. This means that the angles opposite from each other have the same measure. Therefore, both angle 2 & 4 have a measure of 143°, while angle 1 & 3 have a measure of 37°.
Answer:
Step-by-step explanation:

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Answer:
The solutions are x = -7, 6.
Step-by-step explanation:
To find the solutions, move everything to one side of the equation so the equation is equal to 0. Then factor. Set the factors equal to 0 and solve for x.

x+7 = 0
x = -7
and
x-6 = 0
x = 6
The solutions are x = -7, 6.
Answer:
see explanation
Step-by-step explanation:
Using the tangent and sine ratios in the right triangle EFG
tan60° =
=
=
( multiply both sides by EG )
EG × tan60° = 28 ( divide both sides by tan60° )
EG =
≈ 16.2 in ( to the nearest tenth )
--------------------------------------------------------------
sin60° =
=
=
( multiply both sides by EF )
EF × sin60° = 28 ( divide both sides by sin60° )
EF =
≈ 32.3 in ( to the nearest tenth )